Penrose transform and monogenic functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10333489" target="_blank" >RIV/00216208:11320/12:10333489 - isvavai.cz</a>
Result on the web
<a href="http://www.emis.de/journals/AM/12-5/salac2012.pdf" target="_blank" >http://www.emis.de/journals/AM/12-5/salac2012.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.5817/AM2012-5-399" target="_blank" >10.5817/AM2012-5-399</a>

Result language
angličtina
Original language name
Penrose transform and monogenic functions
Original language description
The Penrose transform gives an isomorphism between the kernel of the $2$-Dirac operator over an affine subset and the third sheaf cohomology group on the twistor space. In the paper we give an integral formula which realizes the isomorphism and decompose the kernel as a module of the Levi factor of the parabolic subgroup. This gives a new insight into the structure of the kernel of the operator.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GD201%2F09%2FH012" target="_blank" >GD201/09/H012: Algebraic and geometric methods and structures</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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